Mulley was part of the U18 team's Treble winning campaign last season, which included the FA Youth Cup.
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Villa academy manager Mark Harrison told the club's website: “Trai-Varn is an exciting wide player who is very good in 1v1 attacking situations.
“Trai-Varn was a member of the Under-18s squad which won the Premier League National Final and FA Youth Cup double last season, scoring an important goal in the semi-final against Manchester United.
“He has been at the Academy for the last five years and is a local lad. We look forward to seeing how Trai-Varn develops over the coming years.”